in simplest terms: (-5x-7)-(-4x-6)(−5x−7)−(−4x−6)

Recall the half-angle identity for sine,

sin²(x/2) = (1 - cos(x))/2

Then the given equation is identical to

sin²(θ) = 1 - cos(θ)

Also recall the Pythagorean identity,

sin²(θ) + cos²(θ) = 1

Then we rewrite the equation as

1 - cos²(θ) = 1 - cos(θ)

Factoring the left side, we have

(1 - cos(θ)) (1 + cos(θ)) = 1 - cos(θ)

and so

(1 - cos(θ)) (1 + cos(θ)) - (1 - cos(θ)) = 0

and we factor this further as

(1 - cos(θ)) (1 + cos(θ) - 1) = 0

which gives

cos(θ) (1 - cos(θ)) = 0

Then either

cos(θ) = 0   or   1 - cos(θ) = 0

cos(θ) = 0   or   cos(θ) = 1

[θ = arccos(0) + 2nπ   or   θ = -arccos(0) + 2nπ]

…   or   [θ = arccos(1) + 2nπ   or   θ = -arccos(1) + 2nπ]

(where n is any integer)

[θ = π/2 + 2nπ   or   θ = -π/2 + 2nπ]   or   [θ = 0 + 2nπ]

In the interval 0 ≤ θ < 2π, we get three solutions:

• first solution set with n = 0   ⇒   θ = π/2

• second solution set with n = 1   ⇒   θ = 3π/2

• third solution set with n = 0   ⇒   θ = 0

So, the first choice is correct.

Answer:

1/3

Step-by-step explanation:

2 blue 1 green 4 red

Answer:

$87.50

Step-by-step explanation:

Answer:

NO SOLUTION

Step-by-step explanation:

By the give me brainlist please

The exact area of triangle ABC is 93.51 cm².

The given parameters;

The base of the triangle is calculated by using trigonometry ratio as follows;

[tex]tan (30) = \frac{b}{18} \\\\[/tex]

where;

[tex]b = 18 \times tan(30)\\\\b = 10.39 \ cm[/tex]

The area of the triangle ABC  with the calculated base and given height is calculated as follows;

[tex]A = \frac{1}{2} \times base \times height\\\\A = \frac{1}{2} \times 10.39 \times 18\\\\A = 93.51 \ cm^2[/tex]

Thus, the exact area of triangle ABC is 93.51 cm².

Learn more about area of a triangle here: https://brainly.com/question/23945265

cheater bro wyd ur doing a diagnostic try ur best lol

Answer:

1/2

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

We have two points on the line

(-1,3) and ( 1,4)

m = ( 4-3)/(1 - -1)

   = (4-3)/(1+1)

    = 1/2

Answer:

Start where the line meets a point. Then go up and over until it meets another.

The answer is 1/2

So go up one and over two. Then other problems such as this one should be pretty straight forward

Answer:

y=K*x equation

k=constant of variation

y= 4 when x = 10

Step-by-step explanation:

8=k*20

divide both sides by 20 to solve for k

2/5=k

y=2/5 *10

y= 4 when x = 10

Answer:

[tex]V(x)=4x^3-112x^2+720x[/tex]

Step-by-step explanation:

[tex](36-2x)(20-2x)x[/tex]

[tex](720-72x-40x+4x^2)x[/tex]

[tex](4x^2-112x+720)x[/tex]

[tex]4x^3-112x^2+720x[/tex]

Therefore, the resulting volume would be [tex]V(x)=4x^3-112x^2+720x[/tex]

Answer:

none of these is the answer

hope it helps you

Step-by-step explanation:

Hope it will help you...

Answer:

√6/2+1

Step-by-step explanation:

multiplying by √6/√6, we get √6(3+√6)/6=(3√6+6)/6=√6/2+1

Answer:

Step-by-step explanation:

Freddie rate of mowing=3/2=1.5 lawns /hr.

Tom's rate of mowimg=2 lawns/hr

so Tom can mow Smith's lawn faster.

Answer:

Segment ED has the same length as EA

The line segment which is equal to EA is ED. Therefore, option B is the correct answer.

In the given diagram, a line perpendicular to line AB passes through point C.

A tangent to a circle is a line which intersects the circle at only one point. The common point between the tangent and the circle is called the point of contact.

The length of two tangents drawn from an external point to a circle is equal.

From the given figure we can see there are three circles, two large circles and one small circle.

Line segment EA is tangent to a small circle.

The line segment which is equal to EA is ED because ED is another tangent to a small circle from the same external point.

The line segment which is equal to EA is ED. Therefore, option B is the correct answer.

To learn more about the tangent to a circle visit:

https://brainly.com/question/16592747.

#SPJ2

[tex]4x-15 = 17-4x\\\\\implies 4x +4x = 17 +15\\\\\implies 8x = 32\\\\\implies x = \dfrac{32} 8\\\\\implies x = 4[/tex]

Probability that 2 of the 10 chargers will be defective =0.35

Number of ways of selecting 10 chargers from 20 chargers is 20C10

20C10 = 184756

Number of ways of selecting 10 chargers from 20 = 184756

Number of ways of selecting 2 defective chargers from 5 defective chargers = 5C2

5C2 = 10

Since 2 defective chargers have been chosen, there remains 8 to choose

Number of ways of selecting 8 good chargers from 15 remaining chargers = 15C8

Number of ways of selecting 8 good chargers from 15 remaining chargers = 6435

Probability that 2 of the 10 will be defective =

(10x6435)/184756

Probability that 2 of the 10 will be defective = 64350/184756

Probability that 2 of the 10 chargers will be defective =0.35

Learn more on probability here: https://brainly.com/question/24756209

Answer:

10.7°

Step-by-step explanation:

SOH CAH TOA

Tan(BCA) = x/y

= 4/21

BCA= Tan`¹(4/21)

= 10.7856

to 3SF = 10.7°

Answer:

35 remainder 1

Step-by-step explanation:

71 ÷ 2 = 35.5

The 35 is the whole number part of your answer. The .5 part of the answer is .5 of 2, which is 1

OR you can think that

35 × 2 =70. The 1 is the remaining part from 71.

Answer:

there will be 180 gallons of water in the pool after 24 hours

Step-by-step explanation:

[tex]\frac{15}{2} *\frac{12}{12}= \frac{180}{24}[/tex]

Answer:

180 gallons

Step-by-step explanation:

Ok so,

2 hours = 15 gallons.

if we multiply both sides by 12 we can find out how many gallons of water will be in the pool in 24 hours

2 x 12 = 24

15 x 12 = 180

There will be 180 gallons of water in the pool after 24 hours.

Answer:

3/16

Step-by-step explanation:

3/4÷4=3/16

Since there are 4 people, not 3, divide the remaining pizza by 4.

Answer:

1/2

Step-by-step explanation:

5 / 10 = 1/2

so tan = me sun bathing for 2.5 second

Answer:

make that 30 percent int a fraction and u should know what to do

Step-by-step explanation:

7 x 27               189

              =    -------------------

9 x 1                     9

Answer:

I think it is undefined.

Answer:

A) a0 + a1 + a2 + a3 + a4 + a5

Step-by-step explanation:

Answer:

A) a0 + a1 + a2 + a3 + a4 + a5

Step-by-step explanation:

Answer:

i think D. All of the above would generate a sphere is answer

Answer:

C.) 42 cm

Step-by-step explanation:

When you enlarge the rectangle by a scale of 3, you are multiplying its perimeter by 3

2*2+5*2=4+10=14

14*3=42

Answer:

LETS

GO

BRANDON

Step-by-step explanation:

Answer:

Multiples: 16, 32, 48, 64, 80 Factors: 1, 2, 4, 8 and 16

Step-by-step explanation:

hope this helped :3